The equation for the least-squares regression line for number of theft crimes, x, compared with the number of burglary crimes, y, in the u. s. is represented by ŷ = 1.37x + 110,383.27. what is the number of theft crimes if the number of burglary crimes is 112,450? a 1,508.56 theft crimes b 264,440 theft crimes c 162,652 theft crimes d 43,673.23 theft crimes

Given: X - number of theft crimes

Y - number of burglary crimes

The given regression equation is

ŷ = 1.37x + 110,383.27.

We have to find x for given value of y = 112,450

Using value of y in regression equation gives

112450 = 1.37x + 110383.27

112450 - 110383.27 = 1.37x

2066.73 = 1.37x

x = 1508.562

So the number of theft crimes is 1508.56

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